If quadrilateral A’B’C’D’ = DK (ABCD), which of the following statements are true? Select all that apply. (Hint: Draw a picture)

The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.

The quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1.

The corresponding side lengths are related by AB = k(A'B')

The corresponding side lengths are related by k(CB) = C'B'.

The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.

The corresponding side lengths are related by k(CB) = C'B'.

Step-by-step explanation:

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

Dilation is the increase or decrease in size of a figure by a factor k. If k > 1, the figure is increased, if k < 1, the figure is reduced and if k = 1, the figure does not changes shape. The image of an dilated figure is similar to the original image.

a) If k = 1, then the resulting image produced by dilating ABCD is congruent. Hence, The quadrilaterals ABCD and A'B'C'D' are congruent only if k = 1.

b) Dilation produce image similar to the original figure, hence quadrilaterals ABCD and A'B'C'D' are similar only if k ≥ 1 and k < 1.

c) Since ABCD is dilated by a factor of k to produce A'B'C'D', hence A'B' = k(AB).

d) C'B' = k(CB)

c. 4 1/4 pounds

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet